We give a heuristic proof of the relation between the impact factor (IF) and the uncitedness factor (U), the fraction of the papers that are uncited:U=11+IF

Evolution of information production processes (IPPs) can be described by a general transformation function for the sources and for the items. It generalises the Fellman–Jakobsson transformation which only works on the items.

The well-known discrete theory of conjugate partitions, Ferrers graphs and Durfee squares is interpreted in informetrics. It is shown that partitions and their conjugates have the same h-index, a fact that is not true for the g- and R-index. A modification of Ferrers graph is presented, yielding...

The minimum configuration to have a h-index equal to h is h papers each having h citations, hence h2 citations in total. To increase the h-index to h+1 we minimally need (h+1)2 citations, an increment of I1(h)=2h+1. The latter number increases with 2 per unit increase of h. This increment of the...

General results on transformations on information production processes (IPPs), involving transformations of the h-index and related indices, are applied in concrete, simple cases: doubling the production per source, doubling the number of sources, doubling the number of sources but halving their...

We show mathematically that the success-index can be any of the following impact indices, dependent on the value of the threshold used in the definition of the success-index: Hirsch-index (h-index), g-index, generalized Wu- and Kosmulski-indices, the average.

In this paper, we define a First-Citation-Speed-Index (FCSI) for a set of papers, based on their times of publication and of first citation. The index is based on the definition of a h-index for increasing sequences.